Search a number
-
+
2223354240 = 27325537283
BaseRepresentation
bin1000010010000101…
…1011000110000000
312201221122002122100
42010201123012000
514023134313430
61004342110400
7106045125222
oct20441330600
95657562570
102223354240
11a41030a48
1252071b400
1329581a733
141713da412
15d02d1960
hex8485b180

2223354240 has 192 divisors, whose sum is σ = 7823453040. Its totient is φ = 581627904.

The previous prime is 2223354227. The next prime is 2223354253. The reversal of 2223354240 is 424533222.

It is a happy number.

2223354240 is a `hidden beast` number, since 2 + 2 + 233 + 5 + 424 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2223354227) and next prime (2223354253).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301639 + ... + 308921.

Almost surely, 22223354240 is an apocalyptic number.

2223354240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2223354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3911726520).

2223354240 is an abundant number, since it is smaller than the sum of its proper divisors (5600098800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2223354240 is a wasteful number, since it uses less digits than its factorization.

2223354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7361 (or 7346 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 2223354240 is about 47152.4574121010. The cubic root of 2223354240 is about 1305.1774277629.

Adding to 2223354240 its reverse (424533222), we get a palindrome (2647887462).

The spelling of 2223354240 in words is "two billion, two hundred twenty-three million, three hundred fifty-four thousand, two hundred forty".